Extension theory for elliptic partial differential operators with pseudodifferential methods

Gerd Grubb

Extension theory for elliptic partial differential operators with pseudodifferential methods

Institut for Matematiske Fag

Abstract

This is a short survey on the connection between general extension
theories and the study of realizations of elliptic operators A on smooth domains
in R^n, n >1. The theory of pseudodifferential boundary problems has turned
out to be very useful here, not only as a formulational framework, but also
for the solution of specific questions. We recall some elements of that theory,
and show its application in several cases (including new results), namely to
the lower boundedness question, and the question of spectral asymptotics for
differences between resolvents.

Originalsprog	Engelsk
Titel	Operator Methods for Boundary Value Problems
Redaktører	Seppo Hassi, Hendrik de Snoo, Franciszek Szafraniec
Antal sider	38
Vol/bind	404
Udgivelsessted	Cambridge
Forlag	Cambridge University Press
Publikationsdato	2012
Sider	221-258
Kapitel	8
ISBN (Trykt)	978-1-197-60611-1
Status	Udgivet - 2012

Navn	London Mathematical Society. Lecture Note Series
Vol/bind	404
ISSN	0076-0552

Emneord

Det Natur- og Biovidenskabelige Fakultet
Matematik
partielle differentialligninger
funktionalanalyse

Citationsformater

Extension theory for elliptic partial differential operators with pseudodifferential methods. / Grubb, Gerd.
Operator Methods for Boundary Value Problems. red. / Seppo Hassi; Hendrik de Snoo; Franciszek Szafraniec. Bind 404 Cambridge: Cambridge University Press, 2012. s. 221-258 (London Mathematical Society. Lecture Note Series, Bind 404).

Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › peer review

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